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Pulled some overgrown heirloom carrots from a neglected corner of my yard, love these cross sections
(beehaw.org)
From left to right:
[Image description: Four brightly colored sliced carrots on a cutting board; being gold, purple with orange and green interior, red with interior rings of red and white, purple with purple and white radiating from center.]
Beautiful! Ignorant question: are all of these edible? I vaguely remember that some wild carrots are toxic, isn't it?
Carrots are part of the Apiacea family (https://en.m.wikipedia.org/wiki/Apiacea). There are quite a few poisonous/toxic species in that family, and many of the species look alike to the untrained eye.
What OP described are heirloom varieties of carrots, though, not wild carrots.